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Finding the Third Proportional to 112,329 and 164,101

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Solution

The third proportional to 112,329 and 164,101 is: 239,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,329 : 164,101 = 164,101 : x
  2. Step 2: Convert to fraction form
    112,329/164,101 = 164,101/x
  3. Step 3: Cross multiply
    112,329x = 164,101 × 164,101
  4. Step 4: Simplify right side
    112,329x = 26,929,138,201
  5. Step 5: Solve for x
    x = 26,929,138,201/112,329
  6. Step 6: Final answer
    x = 239,734.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.